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Finding the Fourth Proportional to 5,819.64, 8,729.46 and 4,952.13

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Solution

The fourth proportional to 5,819.64, 8,729.46 and 4,952.13 is: 7,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.64 : 8,729.46 = 4,952.13 : x
  2. Step 2: Convert to fraction form
    5,819.64/8,729.46 = 4,952.13/x
  3. Step 3: Cross multiply
    5,819.64x = 8,729.46 × 4,952.13
  4. Step 4: Simplify right side
    5,819.64x = 43,229,420.75
  5. Step 5: Solve for x
    x = 43,229,420.75/5,819.64
  6. Step 6: Final answer
    x = 7,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.